Journal of Applied Mathematics and Mechanics (about journal) Journal of Applied
Mathematics and Mechanics

Russian Academy of Sciences
in January 1936
(Translated from 1958)
Issued 6 times a year
ISSN 0021-8928
(print version)

Russian  English English About Journal | Issues | Editorial Board | Contact Us

 Web hosting is provided
by the Ishlinsky Institute for
Problems in Mechanics
of the Russian
Academy of Sciences
IssuesArchive of Issues2014-4pp.359-366

Archive of Issues

Total articles in the database: 1813
In Russian (): 1014
In English (J. Appl. Math. Mech.): 799

<< Previous article | Volume 78, Issue 4 / 2014 | Next article >>
M.G. Zhuchkova and D.P. Kouzov, "The transmission of a flexural-gravitational wave through several straight obstacles in a floating plate," J. Appl. Math. Mech. 78 (4), 359-366 (2014)
Year 2014 Volume 78 Issue 4 Pages 359-366
Title The transmission of a flexural-gravitational wave through several straight obstacles in a floating plate
Author(s) M.G. Zhuchkova (St Petersburg, Russia,
D.P. Kouzov (St Petersburg, Russia)
Abstract Periodic wave processes in a thin elastic plate floating on the surface of an incompressible fluid of finite depth are studied. The plate completely covers the fluid surface and executes flexural oscillations under the action of gravitational waves in the fluid. The system of free oscillations in the plate is disrupted along a set of parallel lines. Rigid clamping of the plate, a sliding fastening and an infinitesimally narrow slit are considered as such disruptions. The apparatus used to construct the solution is quite general, and other disruptions in the elastic properties of a plate or its reinforcement, that are realized with linear boundary-contact conditions, can be treated in a similar way. The transmission and reflection of a harmonic flexural-gravitational wave, that is orthogonally incident on the inhomogeneities in the plate, are studied. Exact analytical representations of the wave fields in the plate and in fluid are obtained and the transmission and reflection coefficients for the incident flexural-gravitational wave are determined. The forces developed in the fastenings are found.
Received 8 February 2013
Link to Fulltext
<< Previous article | Volume 78, Issue 4 / 2014 | Next article >>
Orphus SystemIf you find a misprint on a webpage, please help us correct it promptly - just highlight and press Ctrl+Enter

101 Vernadsky Avenue, Bldg 1, Room 245, 119526 Moscow, Russia (+7 495) 434-2149
Founders: Russian Academy of Sciences, Branch of Power Industry, Machine Building, Mechanics and Control Processes of RAS, Journals on Mechanics Ltd.
© Journals on Mechanics Ltd.
Webmaster: Alexander Levitin
Rambler's Top100